Operator ideal of s-type operators using weighted mean sequence space

ERDOĞAN E., KARAKAYA V.

CARPATHIAN JOURNAL OF MATHEMATICS, vol.33, no.3, pp.311-318, 2017 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 33 Issue: 3
  • Publication Date: 2017
  • Journal Name: CARPATHIAN JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.311-318
  • Yıldız Technical University Affiliated: Yes

Abstract

We introduce a different class of s-type operators by using the generalized weighted mean sequence space co (u, v), then it is shown that this new class of operators is a quasi-Banach operator ideal. Moreover, their injectivity and surjectivity are investigated according to sort of s-number. Finally, we proof that it is a dosed operator ideal under some conditions.